OS-V: 0110 One Dimensional Transient Heat Transfer

Test No. T3 OptiStruct examines the material temperature at point C, 0.08m from point A and the total simulation time is 32 seconds for transient heat transfer analysis.

Benchmark Model

The 2-noded beam elements, Quad4 elements and Quad8 elements are used to build the model with 5 elements each for the coarse mesh and 10 elements each for the fine mesh. At time t=0, all temperature = zero and at time t>0, at one end temperature is zero and at the other end temperature is 100 sin(πt/40) °C. There is no heat flux perpendicular to the length of the beam.

The material properties are:

Conductivity: 35.0 W/m°C
Specific Heat: 440.5 J/kg°C
Density: 7200 kg/m³

Linear Static Analysis Results

All results are normalized with the target value (36.60°C).

	Material temperature at point C, x=0.08m, time t=32sec (°C)	Normalized with the Target Value
Beam Elements:
CBEAM coarse	33.6	1.089285714
CBEAM fine	34.58	1.058415269
Quadrilateral Element:
Quad4 coarse	33.6	1.089285714
Quad8 coarse	35.1	1.042735043
Quad4 fine	34.58	1.058415269
Quad8 fine	35.19	1.040068201

Model Files

The model files used in this problem include:

<install_directory>/hwsolvers/demos/optistruct/verification

/T3CbeamC.fem
/T3CbeamF.fem
/T3Quad4C.fem
/T3Quad8C.fem
/T3Quad4F.fem
/T3Quad8F.fem

Reference

NAFEMS Ltd, The Standard NAFEMS BENCHMARKS TNSB Rev. 3, NAFEMS Ltd, Scottish Enterprise Technology Park, Whitworth Building, East Kilbride, Glasgow, United Kingdom, 1990.